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arxiv: 0712.1514 · v1 · submitted 2007-12-10 · 🧮 math-ph · math.MP

Magnetic bottles on the Poincar\'e half-plane: spectral asymptotics

classification 🧮 math-ph math.MP
keywords magnetichalf-planepoincarasymptoticasymptoticsbehaviorbottlesconsider
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We consider a magnetic laplacian P(A) on the Poincar\'e half-plane, when the magnetic field dA is infinite at infinity such that P(A) has pure discret spectrum. We give the asymptotic behavior of the counting function of the eigenvalues.

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